English

On Jaconian Kummer surfaces

Algebraic Geometry 2012-12-27 v1

Abstract

We give explicit equations of smooth Jacobian Kummer surfaces of degree 8 by theta functions. As byproducts, we can write down Rosenhain's 80 hyperpanes and 32 lines on these Kummer surfaces explicitly.

Cite

@article{arxiv.1212.5884,
  title  = {On Jaconian Kummer surfaces},
  author = {Kenji Koike},
  journal= {arXiv preprint arXiv:1212.5884},
  year   = {2012}
}
R2 v1 2026-06-21T22:59:43.459Z